External Area of Particle Calculator

✖Solid Loading into Reactors refers to the amount of solid particles present in a fluid (liquid or gas) entering or present within a Reactor System.ⓘ Solid Loading into Reactors [f_s]			+10% -10%
✖Diameter of Particle refers to the size of individual particles within a substance or material. It is a measure of the linear dimension of a particle and is often expressed as a length.ⓘ Diameter of Particle [d_p]			+10% -10%

✖External Area of Particle refers to the surface area on the outer surface of the particle.ⓘ External Area of Particle [a_c]

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Formula

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External Area of Particle

Formula

`"a"_{"c"} = 6*"f"_{"s"}/"d"_{"p"}`

Example

`"158.5831m²"=6*"0.97"/"0.0367m"`

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External Area of Particle Solution

STEP 0: Pre-Calculation Summary

Formula Used

External Area of Particle = 6*Solid Loading into Reactors/Diameter of Particle
a_c = 6*f_s/d_p
This formula uses 3 Variables

Variables Used

External Area of Particle - (Measured in Square Meter) - External Area of Particle refers to the surface area on the outer surface of the particle.
Solid Loading into Reactors - Solid Loading into Reactors refers to the amount of solid particles present in a fluid (liquid or gas) entering or present within a Reactor System.
Diameter of Particle - (Measured in Meter) - Diameter of Particle refers to the size of individual particles within a substance or material. It is a measure of the linear dimension of a particle and is often expressed as a length.

STEP 1: Convert Input(s) to Base Unit

Solid Loading into Reactors: 0.97 --> No Conversion Required
Diameter of Particle: 0.0367 Meter --> 0.0367 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

a_c = 6*f_s/d_p --> 6*0.97/0.0367

Evaluating ... ...

a_c = 158.58310626703

STEP 3: Convert Result to Output's Unit

158.58310626703 Square Meter --> No Conversion Required

FINAL ANSWER

158.58310626703 ≈ 158.5831 Square Meter <-- External Area of Particle

(Calculation completed in 00.004 seconds)

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Home » Engineering » Chemical Engineering » Chemical Reaction Engineering » Reactions Catalyzed by Solids » G/L Reactions on Solid Catalysts » External Area of Particle

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Anurag Group of Institutions (AGI), Hyderabad

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< 13 G/L Reactions on Solid Catalysts Calculators

Rate Equation of Reactant A at Extreme B

Go Reaction Rate of Reactant A = (-(1/((1/(Gas Phase Mass Transfer Coefficient*Inner Area of Particle))+(Henry Law Constant/(Liquid Phase Mass Transfer Coefficient*Inner Area of Particle))+(Henry Law Constant/(Film Coefficient of Catalyst on A*External Area of Particle))+(Henry Law Constant/((Rate Constant of A*Diffused Concentration of Total Reactant B)*Effectiveness Factor of Reactant A*Solid Loading into Reactors)))*Pressure of Gaseous A))

Partial Pressure of Gaseous A at Extreme B

Go Pressure of Gaseous A = Reaction Rate of Reactant A*((1/(Gas Phase Mass Transfer Coefficient*Inner Area of Particle))+(Henry Law Constant/(Liquid Phase Mass Transfer Coefficient*Inner Area of Particle))+(Henry Law Constant/(Film Coefficient of Catalyst on A*External Area of Particle))+(Henry Law Constant/((Rate Constant of A*Diffused Concentration of Total Reactant B)*Effectiveness Factor of Reactant A*Solid Loading into Reactors)))

Rate Equation of Reactant A in G/L Reactions

Go Reaction Rate of Reactant A = (1/((1/(Gas Phase Mass Transfer Coefficient*Inner Area of Particle))+(Henry Law Constant/(Liquid Phase Mass Transfer Coefficient*Inner Area of Particle))+(Henry Law Constant/(Film Coefficient of Catalyst on A*External Area of Particle))+(Henry Law Constant/((Rate Constant of A*Diffused Concentration of Reactant B)*Effectiveness Factor of Reactant A*Solid Loading into Reactors)))*Pressure of Gaseous A)

Partial Pressure of Gaseous A in G/L Reactions

Go Pressure of Gaseous A = Reaction Rate of Reactant A*((1/(Gas Phase Mass Transfer Coefficient*Inner Area of Particle))+(Henry Law Constant/(Liquid Phase Mass Transfer Coefficient*Inner Area of Particle))+(Henry Law Constant/(Film Coefficient of Catalyst on A*External Area of Particle))+(Henry Law Constant/((Rate Constant of A*Diffused Concentration of Reactant B)*Effectiveness Factor of Reactant A*Solid Loading into Reactors)))

Rate Equation of Reactant B at Extreme A

Go Reaction Rate of Reactant B = (1/((1/(Film Coefficient of Catalyst on B*External Area of Particle))+(1/(((Rate Constant of B*Pressure of Gaseous A)/Henry Law Constant)*Effectiveness Factor of Reactant B*Solid Loading into Reactors))))*Concentration of Liquid B

Concentration of Reactant B at Extreme A

Go Concentration of Liquid B = Reaction Rate of Reactant B*((1/(Film Coefficient of Catalyst on B*External Area of Particle))+(1/(((Rate Constant of B*Pressure of Gaseous A)/Henry Law Constant)*Effectiveness Factor of Reactant B*Solid Loading into Reactors)))

Rate Equation of Reactant B in G/L Reactions

Go Reaction Rate of Reactant B = (1/((1/(Film Coefficient of Catalyst on B*External Area of Particle))+(1/((Rate Constant of B*Diffused Concentration of Reactant A)*Effectiveness Factor of Reactant B*Solid Loading into Reactors))))*Concentration of Liquid B

Concentration of Reactant B in G/L Reactions

Go Concentration of Liquid B = Reaction Rate of Reactant B*((1/(Film Coefficient of Catalyst on B*External Area of Particle))+(1/((Rate Constant of B*Diffused Concentration of Reactant A)*Effectiveness Factor of Reactant B*Solid Loading into Reactors)))

External Area of Particle

Go External Area of Particle = 6*Solid Loading into Reactors/Diameter of Particle

Henry's Law Constant

Go Henry Law Constant = Partial Pressure of Reactant A/Reactant Concentration

Inner Area of Particle

Go Inner Area of Particle = Gas Liquid Interfacial Area/Volume of Reactor

Solid Loading

Go Solid Loading into Reactors = Volume of Particles/Volume of Reactor

Liquid Holdup

Go Liquid Holdup = Volume of Liquid Phase/Volume of Reactor

External Area of Particle Formula

External Area of Particle = 6*Solid Loading into Reactors/Diameter of Particle
a_c = 6*f_s/d_p

What is Solid Loading?

Solid loading in chemical reaction engineering refers to the mass fraction or percentage of solid particles present in a mixture, often involving a solid-liquid or solid-gas system. It is a crucial parameter influencing the performance of reactors and the kinetics of reactions.

What are G/L Reactions on Solid Catalysts?

In some chemical processes, reactions involve both gas and liquid phases, and solid catalysts can play a crucial role in facilitating these reactions. One common example is the use of solid catalysts in gas-liquid phase reactions in heterogeneous catalysis.

How to Calculate External Area of Particle?

External Area of Particle calculator uses External Area of Particle = 6*Solid Loading into Reactors/Diameter of Particle to calculate the External Area of Particle, The External Area of Particle formula is defined as Ratio between the Solid Loading and Diameter of the Particle. External Area of Particle is denoted by a_c symbol.

How to calculate External Area of Particle using this online calculator? To use this online calculator for External Area of Particle, enter Solid Loading into Reactors (f_s) & Diameter of Particle (d_p) and hit the calculate button. Here is how the External Area of Particle calculation can be explained with given input values -> 158.5831 = 6*0.97/0.0367.

FAQ

What is External Area of Particle?

The External Area of Particle formula is defined as Ratio between the Solid Loading and Diameter of the Particle and is represented as a_c = 6*f_s/d_p or External Area of Particle = 6*Solid Loading into Reactors/Diameter of Particle. Solid Loading into Reactors refers to the amount of solid particles present in a fluid (liquid or gas) entering or present within a Reactor System & Diameter of Particle refers to the size of individual particles within a substance or material. It is a measure of the linear dimension of a particle and is often expressed as a length.

How to calculate External Area of Particle?

The External Area of Particle formula is defined as Ratio between the Solid Loading and Diameter of the Particle is calculated using External Area of Particle = 6*Solid Loading into Reactors/Diameter of Particle. To calculate External Area of Particle, you need Solid Loading into Reactors (f_s) & Diameter of Particle (d_p). With our tool, you need to enter the respective value for Solid Loading into Reactors & Diameter of Particle and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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